The points $A$, $B$, $C$ and $D$ represent the complex numbers $-2+5\mathbf{i}$, ${{z}_{1}}$, $4+\ma

Question

The points $A$, $B$, $C$ and $D$ represent the complex numbers $-2+5\mathbf{i}$, ${{z}_{1}}$, $4+\mathbf{i}$ and ${{z}_{2}}$ respectively. Given that $ABCD$ is a square, labelled in an anti-clockwise direction, show that ${{z}_{1}}=-1$. Find ${{z}_{2}}$. [4]

Accepted Answer

$z_1=-1$, $z_2=3+6\mathrm{i}$

RI Complex Numbers Assignment Q1

RI Complex Numbers Assignment Q1

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